Novel Stability Criteria of Nonlinear Uncertain Systems with Time-Varying Delay

Yali Dong, Shengwei Mei, Xueli Wang
2011 Abstract and Applied Analysis  
The problem of robust exponential stabilization for dynamical nonlinear systems with uncertainties and time-varying delay is considered in the paper. By constructing the proposed Lyapunov-Krasovskii functional approach, continuous state feedback controllers are put forward, and the criteria which guarantee the exponential stabilization of the nonlinear systems with uncertainties and time-varying delay are established in terms of solutions to the standard Riccati differential equations.
more » ... re, based on the Lyapunov method and the linear matrix inequality approach, the sufficient conditions of exponential stability for a class of uncertain systems with time-varying delays and nonlinear perturbations are derived. Finally, two numerical examples are given to demonstrate the validity of the results.
doi:10.1155/2011/969674 fatcat:hduef7ty4jegrdicofhe5yaqjm